Look at the screenshots for the answers. (50 points)

(1)

we are given

now, we can plug

...........Answer

(2)

we are given

now, we can plug

...........Answer

(3)

we are given

we have

now, we can plug values

now, we can factor it

now, we can factor it

we know that denominator can not be zero

so,

so, option-C.........Answer

(4)

we are given

now, we can plug it

now, we can plug x=4

so, option-C..................Answer

(5)

we are given

now, we can plug values

now, we can plug x=2

we know that

price is

we can plug x=2

so, option-B...............Answer

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.